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落后的感应和最优停时

Lecture 16 - Backward Induction and Optimal Stopping Times
课程网址: http://videolectures.net/yalemecon251f09_geanakoplos_lec16/  
主讲教师: John Geanakoplos
开课单位: 耶鲁大学
开课时间: 2012-03-17
课程语种: 英语
中文简介:
在本讲座的第一部分中,我们总结了之前关于隐含违约概率的讨论,展示了如何使用我们用于计算远期利率的相同对偶技巧快速计算它们,并展示如何将它们解释为远期利率中的利差。讲座的主要部分集中在后向归纳的强大工具,数学家Zermelo曾在20世纪初使用它来证明国际象棋中最优策略的存在。我们在一系列最佳停止问题中探讨其应用,从与经济学相距甚远的例子开始,例如如何决定何时停止约会和结婚。在每种情况下,我们发现继续选择具有惊人的价值。
课程简介: In the first part of the lecture we wrap up the previous discussion of implied default probabilities, showing how to calculate them quickly by using the same duality trick we used to compute forward interest rates, and showing how to interpret them as spreads in the forward rates. The main part of the lecture focuses on the powerful tool of backward induction, once used in the early 1900s by the mathematician Zermelo to prove the existence of an optimal strategy in chess. We explore its application in a series of optimal stopping problems, starting with examples quite distant from economics such as how to decide when it is time to stop dating and get married. In each case we find that the option to continue is surprisingly valuable.
关 键 词: 违约机率; 对偶性技巧; 远期利率价差; 最优策略
课程来源: 视频讲座网
最后编审: 2020-09-26:yumf
阅读次数: 47